405241142504 has 32 divisors (see below), whose sum is σ = 832522039200. Its totient is φ = 183396141120.

The previous prime is 405241142459. The next prime is 405241142533.

405241142504 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10034462 + ... + 10074765.

It is an arithmetic number, because the mean of its divisors is an integer number (26016313725).

Almost surely, 2^405241142504 is an apocalyptic number.

405241142504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405241142504 is an abundant number, since it is smaller than the sum of its proper divisors (427280896696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405241142504 is a wasteful number, since it uses less digits than its factorization.

405241142504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20109473 (or 20109469 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

It can be divided in two parts, 405241 and 142504, that added together give a palindrome (547745).

The spelling of 405241142504 in words is "four hundred five billion, two hundred forty-one million, one hundred forty-two thousand, five hundred four".